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Finding the Third Proportional to 153,216 and 317,042

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Solution

The third proportional to 153,216 and 317,042 is: 656,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,216 : 317,042 = 317,042 : x
  2. Step 2: Convert to fraction form
    153,216/317,042 = 317,042/x
  3. Step 3: Cross multiply
    153,216x = 317,042 × 317,042
  4. Step 4: Simplify right side
    153,216x = 100,515,629,764
  5. Step 5: Solve for x
    x = 100,515,629,764/153,216
  6. Step 6: Final answer
    x = 656,038.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.